zgeqpf.f(3)							      LAPACK							       zgeqpf.f(3)

NAME

       zgeqpf.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zgeqpf (M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO)
	   ZGEQPF

Function/Subroutine Documentation
   subroutine zgeqpf (integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex*16, dimension( *
       )TAU, complex*16, dimension( * )WORK, double precision, dimension( * )RWORK, integerINFO)
       ZGEQPF

       Purpose:

	    This routine is deprecated and has been replaced by routine ZGEQP3.

	    ZGEQPF computes a QR factorization with column pivoting of a
	    complex M-by-N matrix A: A*P = Q*R.

       Parameters:
	   M

		     M is INTEGER
		     The number of rows of the matrix A. M >= 0.

	   N

		     N is INTEGER
		     The number of columns of the matrix A. N >= 0

	   A

		     A is COMPLEX*16 array, dimension (LDA,N)
		     On entry, the M-by-N matrix A.
		     On exit, the upper triangle of the array contains the
		     min(M,N)-by-N upper triangular matrix R; the elements
		     below the diagonal, together with the array TAU,
		     represent the unitary matrix Q as a product of
		     min(m,n) elementary reflectors.

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A. LDA >= max(1,M).

	   JPVT

		     JPVT is INTEGER array, dimension (N)
		     On entry, if JPVT(i) .ne. 0, the i-th column of A is permuted
		     to the front of A*P (a leading column); if JPVT(i) = 0,
		     the i-th column of A is a free column.
		     On exit, if JPVT(i) = k, then the i-th column of A*P
		     was the k-th column of A.

	   TAU

		     TAU is COMPLEX*16 array, dimension (min(M,N))
		     The scalar factors of the elementary reflectors.

	   WORK

		     WORK is COMPLEX*16 array, dimension (N)

	   RWORK

		     RWORK is DOUBLE PRECISION array, dimension (2*N)

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit
		     < 0:  if INFO = -i, the i-th argument had an illegal value

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Further Details:

	     The matrix Q is represented as a product of elementary reflectors

		Q = H(1) H(2) . . . H(n)

	     Each H(i) has the form

		H = I - tau * v * v**H

	     where tau is a complex scalar, and v is a complex vector with
	     v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i).

	     The matrix P is represented in jpvt as follows: If
		jpvt(j) = i
	     then the jth column of P is the ith canonical unit vector.

	     Partial column norm updating strategy modified by
	       Z. Drmac and Z. Bujanovic, Dept. of Mathematics,
	       University of Zagreb, Croatia.
	     -- April 2011							--
	     For more details see LAPACK Working Note 176.

       Definition at line 149 of file zgeqpf.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       zgeqpf.f(3)